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Re: Legendre Polynomials

• To: mathgroup at smc.vnet.net
• Subject: [mg56086] Re: Legendre Polynomials
• From: AES <siegman at stanford.edu>
• Date: Fri, 15 Apr 2005 04:47:25 -0400 (EDT)
• Organization: Stanford University
• References: <d3g8kd$smh$1@smc.vnet.net> <d3ls13$sgv$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

In evaluating Legendre (and other) polynomials and polynomial sums for 
large orders or arguments with an earlier version of Mathematica (maybe 
3 or 4?) I encountered what I took to be round-off errors when using 
real arguments, which disappeared when I limited myself to integer or 
rational arguments.

If I wanted to evaluate one of these functions for an argument of 1.001, 
I used 1001/1000 as the argument and the obvious errors went away.